ACR SMT ON ILS RWY 5 HOT. WX 200 ONE HALF FOG. AT MINIMUMS CAPT; PNF; CALLED 'I'VE GOT THE RWY.' FO; PF; THOUGHT HE MEANT THE ACFT AND STOPPED FLYING. CAPT SAID NO; HE HAD THE RWY AND TOOK CTL OF THE ACFT DRIFTING TO THE L AND RECOVERED MAKING A NORMAL LNDG.

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FROM DFW TO HOT; THE FO WAS PF AS WE EXECUTED THE ILS RWY 5 APCH AT HOT. AT APPROX 25 FT PRIOR TO DECISION HT; I ANNOUNCED 'I'VE GOT THE RWY.' PER COMPANY TRAINING/PROCS; THE PF NORMALLY TRANSITIONS FROM INSTS TO DSND FURTHER IN ORDER TO ACCOMPLISH A NORMAL VISUAL LNDG. THE FO INITIATED THE DSCNT; HOWEVER; HE APPARENTLY DID NOT HEAR MY CALLOUT CORRECTLY AND MISINTERPRETED IT AS A REQUEST THAT HE RELINQUISH THE CTLS TO ME. HE REPLIED BACK 'OK; YOU'VE GOT IT.' AT THIS TIME; I IMMEDIATELY RESPONDED 'NO; NO; YOU'VE GOT IT.' DURING THIS EXCHANGE; THE ACFT BEGAN A GRADUAL DRIFT TO THE R OF THE CTRLINE. AT THIS TIME; IT BECAME APPARENT TO ME THAT THERE WAS STILL CONFUSION AS TO WHO WOULD MANIPULATE THE CTLS FOR LNDG. AS SUCH; I TOOK CTL OF THE ACFT AND ADVANCED THE PWR LEVERS TO ARREST OUR RATE OF DSCNT. AT THIS TIME THE ACFT WAS POSITIONED AT THE FURTHEST R LIMITS OF THE RWY PERIMETER. THE DSCNT WAS STOPPED PRIOR TO GND CONTACT AND A SMALL CLB FOLLOWED WITH SIMULTANEOUS CORRECTION TO THE L TOWARD THE RWY CTRLINE. I THEN REDUCED PWR AND ACCOMPLISHED A NORMAL LNDG. I TAXIED THE ACFT TO THE GATE AND COMPLETED A ROUTINE POSTFLT WITH THE FO THAT DID NOT REVEAL ANY ABNORMALITIES. A POSTFLT DISCUSSION BTWN MYSELF AND THE FO ALLOWED US TO EVALUATE THE INCIDENT AND TO GENERATE SOME SOLUTIONS TO PREVENT A SIMILAR EVENT IN THE FUTURE. WE AGREED THAT PHRASEOLOGY WAS THE PRIMARY FACTOR WHICH LED TO OUR MISCOM. NON DESCRIPT TERMINOLOGY SUCH AS 'I'VE GOT IT/YOU'VE GOT IT' LEFT OPEN THE POSSIBILITY FOR MISINTERP AS TO WHETHER OR NOT THE SPEAKER WAS REFERRING TO THE RWY OR THE ACFT. WE CONCLUDED THAT 'RWY IN SIGHT' WOULD CLR UP ANY CONFUSION AND THAT ANY XFER OF CTLS SHOULD BE CONFIRMED BY THE INITIATING PLT CALLING OUT 'YOU'VE GOT THE ACFT' AND THE RECEIVING PLT RESPONDING; 'I'VE GOT THE ACFT;' FOLLOWED BY A VISUAL CONFIRMATION OF THE XFER.